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121212006384 = 2437289579053
BaseRepresentation
bin111000011100011001…
…1000110111111110000
3102120212110202220200210
41300320303012333300
53441220233201014
6131403425544120
711520514024500
oct1607063067760
9376773686623
10121212006384
1147451021497
121b5a97a5040
13b579323701
145c1c2bda00
1532465b3859
hex1c38cc6ff0

121212006384 has 120 divisors (see below), whose sum is σ = 368347830480. Its totient is φ = 34242819072.

The previous prime is 121212006379. The next prime is 121212006389. The reversal of 121212006384 is 483600212121.

It is an interprime number because it is at equal distance from previous prime (121212006379) and next prime (121212006389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121212006389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80199 + ... + 498854.

It is an arithmetic number, because the mean of its divisors is an integer number (3069565254).

Almost surely, 2121212006384 is an apocalyptic number.

121212006384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212006384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184173915240).

121212006384 is an abundant number, since it is smaller than the sum of its proper divisors (247135824096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121212006384 is a wasteful number, since it uses less digits than its factorization.

121212006384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579167 (or 579154 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 121212006384 in words is "one hundred twenty-one billion, two hundred twelve million, six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 89 98 112 147 168 178 196 267 294 336 356 392 534 588 623 712 784 1068 1176 1246 1424 1869 2136 2352 2492 3738 4272 4361 4984 7476 8722 9968 13083 14952 17444 26166 29904 34888 52332 69776 104664 209328 579053 1158106 1737159 2316212 3474318 4053371 4632424 6948636 8106742 9264848 12160113 13897272 16213484 24320226 27794544 28373597 32426968 48640452 51535717 56747194 64853936 85120791 97280904 103071434 113494388 154607151 170241582 194561808 206142868 226988776 309214302 340483164 360750019 412285736 453977552 618428604 680966328 721500038 824571472 1082250057 1236857208 1361932656 1443000076 2164500114 2473714416 2525250133 2886000152 4329000228 5050500266 5772000304 7575750399 8658000456 10101000532 15151500798 17316000912 20202001064 30303001596 40404002128 60606003192 121212006384